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On Moran’s I coefficient under heterogeneity

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  • Zhang, Tonglin
  • Lin, Ge

Abstract

Moran’s I is the most popular spatial test statistic, but its inability to incorporate heterogeneous populations has been long recognized. This article provides a limiting distribution of the Moran’s I coefficient which can be applied to heterogeneous populations. The method provides a unified framework of testing for spatial autocorrelation for both homogeneous and heterogeneous populations, thereby resolving a long standing issue for Moran’s I. For Poisson count data, a variance adjustment method is provided that solely depends on populations at risk. Simulation results are shown to be consistent with theoretical results. The application of Nebraska breast cancer data shows that the variance adjustment method is simple and effective in reducing type I error rates, which in turn will likely reduce potential misallocation of limited resources.

Suggested Citation

  • Zhang, Tonglin & Lin, Ge, 2016. "On Moran’s I coefficient under heterogeneity," Computational Statistics & Data Analysis, Elsevier, vol. 95(C), pages 83-94.
    • Handle: RePEc:eee:csdana:v:95:y:2016:i:c:p:83-94
    DOI: 10.1016/j.csda.2015.09.010
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    References listed on IDEAS

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    1. Tonglin Zhang & Ge Lin, 2009. "Cluster Detection Based on Spatial Associations and Iterated Residuals in Generalized Linear Mixed Models," Biometrics, The International Biometric Society, vol. 65(2), pages 353-360, June.
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    Cited by:

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    4. Yongfeng Zhu & Zilong Wang & Shilei Qiu & Lingling Zhu, 2019. "Effects of Environmental Regulations on Technological Innovation Efficiency in China’s Industrial Enterprises: A Spatial Analysis," Sustainability, MDPI, vol. 11(7), pages 1-19, April.

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